Orthogonal Matrices and Gram-Schmidt

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Currently 4.0/5 Stars.

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Lesson Description:

Orthogonal Matrices and bases, and Gram-Schmidt -- Lecture 17. Learn what an orthonormal vector and basis looks like and why it is convenient.

Gilbert Strang, 18.06 Linear Algebra, Spring 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 22, 2008). License: Creative Commons BY-NC-SA.
More info at: http://ocw.mit.edu/terms

Additional Resources:

Gram-Schmidt Java Applet - Java applet to play around to investigate Gram-Schmidt and Orthogonal matrix operations.

Questions answered by this video:

What is an orthogonal basis?
What is an orthogonal matrix?
What is Gram-Schmidt?
What are orthonormal vectors?
What is an orthonormal basis?

Staff Review
- Currently 4.0/5 Stars.
The final lecture on orthogonality. This video is a great explanation of orthogonal matrices, orthogonal bases, and Gram-Schmidt. A must see if you want a sort of wrap-up of orthogonal vectors, bases, matrices, projections, and other orthogonal topics.

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